The Scalar Hexaquark $uuddss$: a Candidate to Dark Matter?

Abstract

It is conventionally argued that Dark Matter (DM) has a non-baryonic nature, but if we assume that DM was frozen out before primordial nucleosynthesis and could not significantly impact primordial abundances this argument may be evaded. Then a hypothetical $SU(3)$ flavor-singlet, highly symmetric, deeply bound neutral scalar hexaquark $\mathrm{S}=uuddss$, which due to its features has escaped from experimental detection so far, may be considered as a candidate for a baryonic DM. In the present work we calculate the mass and coupling constant of the scalar six-quark particle $\mathrm{S}$ by means of the QCD sum rule method. Our predictions for its mass are $m_S=1180_{-26}^{+40}\mathrm{MeV}$ ($m_s=95\mathrm{MeV}$) and ${\tilde{m}}_S=1239_{-28}^{+42}\mathrm{MeV}$ ($m_s=128\mathrm{MeV}$). Although these values of mass would produce thermally the cosmological DM abundance, existence of this state may contradict to stability of the oxygen nuclei, which requires further thorough analysis.

10 Pages and 2 Figures

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